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3 Suppose that y is directly proportional to x, and y = 3 when x =...
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x -...
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x - 39 Express g (x) as a product of linear factors. 8(x) = 0 x 5 ? Find all other zeros of P(x) = x + x + 4x + 30, given that 1 – 3i is a zero. (If there is more than one zero, separate them with commas.) x 6 ? The figure below shows the graph of a rational function f. It...
33,39 y 2.192 when x = 2.4 and z = 2.25. 32. n is jointly proportional...
33,39
y 2.192 when x = 2.4 and z = 2.25. 32. n is jointly proportional to r and the square root of b, and Solve each variation problem. 33. If y varies directly as x, and y = 9 when x = 2, what is y n =-18.954 when x =-1.35 and b = 15.21. when x =-3? 34. Ify is directly proportional to z, and y = 6 when z = V12, 47. The t same what is...
Question 1. 30% Given the function f(x, y) = e 1. Specify the domain and range...
Question 1. 30% Given the function f(x, y) = e 1. Specify the domain and range of f. 2. Describe the level curves off and graph the one that passes through the point (2,4). 3. Find the limit, if possible, when (x,y) approaches (0,0) of the function f(x,y). 4. Find the equation of the tangent plane and the normal line to surface defined by at the point (1,1,e). 5. We now let x = 12 and y = In 3t...
Suppose that y varies directly with x, and y= 10 when x-5 (a) Write a direct...
Suppose that y varies directly with x, and y= 10 when x-5 (a) Write a direct variation equation that relates x andy Equation: (b) Find y when x = 4 .
Suppose the point (2, 4) is on the graph of y = f(x). Find a point...
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. 21) y=3f(x - 2) - 5 A) (4, -3) B) (0, -3) (7) D) (4,7)
Suppose the point (2, 4) is on the graph of y = f(x). Find a point...
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. The reflection of the graph of y = f(x) across the y-axis O (-2,4) O (2,-4) O (-2,-4) O (2.4)
At the horizontal intercept x = -3, coming from the (x+3) factor of the polynomial, the...
At the horizontal intercept x = -3, coming from the (x+3) factor of the polynomial, the graph passes directly through the horizontal intercept. The factor (x+3) is linear (has a power of 1), so the behavior near the intercept is like that of a line - it passes directly through the intercept. We call this a single zero, since the zero corresponds to a single factor of the function. At the horizontal intercept x = 2, coming from the (x...
QUESTION 5: f(x) = 2 -(x-1) + x(x + 1) – 2x(x + 1)(x - 1)...
QUESTION 5: f(x) = 2 -(x-1) + x(x + 1) – 2x(x + 1)(x - 1) + 2x(x + 1)(x - 1)(x - 2) function (-1,2), (0,1), (1,2), (2, -7), (3,10) passes through these points and (4,5) Find the interpolation polynomial that passes through the point. 그 QUESTION 6: f(x) = cosx + x3 + xe-* using the values you want for this function write the second Lagrange interpolation polynomial that cuts and using this polynomial f(1,5) value find the...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1...
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1, 2). Find the gradient of f at the point P and draw the gradient vector on the level curve (ii) Draw the graph of f showing the level curve in (i) on the graph (iii) Explain why the function f admits a global minimum over the rectangle 0 x 2, y 1. Determine the minimum value and...
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x - 39 Express g (x) as a product of linear factors. 8(x) = 0 x 5 ? Find all other zeros of P(x) = x + x + 4x + 30, given that 1 – 3i is a zero. (If there is more than one zero, separate them with commas.) x 6 ? The figure below shows the graph of a rational function f. It...
33,39
y 2.192 when x = 2.4 and z = 2.25. 32. n is jointly proportional to r and the square root of b, and Solve each variation problem. 33. If y varies directly as x, and y = 9 when x = 2, what is y n =-18.954 when x =-1.35 and b = 15.21. when x =-3? 34. Ify is directly proportional to z, and y = 6 when z = V12, 47. The t same what is...
Question 1. 30% Given the function f(x, y) = e 1. Specify the domain and range of f. 2. Describe the level curves off and graph the one that passes through the point (2,4). 3. Find the limit, if possible, when (x,y) approaches (0,0) of the function f(x,y). 4. Find the equation of the tangent plane and the normal line to surface defined by at the point (1,1,e). 5. We now let x = 12 and y = In 3t...
Suppose that y varies directly with x, and y= 10 when x-5 (a) Write a direct variation equation that relates x andy Equation: (b) Find y when x = 4 .
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. 21) y=3f(x - 2) - 5 A) (4, -3) B) (0, -3) (7) D) (4,7)
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. The reflection of the graph of y = f(x) across the y-axis O (-2,4) O (2,-4) O (-2,-4) O (2.4)
At the horizontal intercept x = -3, coming from the (x+3) factor of the polynomial, the graph passes directly through the horizontal intercept. The factor (x+3) is linear (has a power of 1), so the behavior near the intercept is like that of a line - it passes directly through the intercept. We call this a single zero, since the zero corresponds to a single factor of the function. At the horizontal intercept x = 2, coming from the (x...
QUESTION 5: f(x) = 2 -(x-1) + x(x + 1) – 2x(x + 1)(x - 1) + 2x(x + 1)(x - 1)(x - 2) function (-1,2), (0,1), (1,2), (2, -7), (3,10) passes through these points and (4,5) Find the interpolation polynomial that passes through the point. 그 QUESTION 6: f(x) = cosx + x3 + xe-* using the values you want for this function write the second Lagrange interpolation polynomial that cuts and using this polynomial f(1,5) value find the...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1, 2). Find the gradient of f at the point P and draw the gradient vector on the level curve (ii) Draw the graph of f showing the level curve in (i) on the graph (iii) Explain why the function f admits a global minimum over the rectangle 0 x 2, y 1. Determine the minimum value and...
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